A q-analog of the Seidel generation of Genocchi numbers

Details A q-analog of the Seidel generation of Genocchi numbers A q-analog of the Seidel generation of Genocchi numbers

2005-01-14

arxiv.org/abs/math/0501217v1

Mathematics

Combinatorics

17 pages

Scientific paper

A new $q$-analog of Genocchi numbers is introduced through a q-analog of
Seidel's triangle associated to Genocchi numbers. It is then shown that these
$q$-Genocchi numbers have interesting combinatorial interpretations in the
classical models for Genocchi numbers such as alternating pistols, alternating
permutations, non intersecting lattice paths and skew Young tableaux.

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